4 papers
Improved stability of low Fourier modes in inverse problems for potentials
Tony Liimatainen, William Trad, Mikko Salo
We prove Lipschitz, sub-Hölder and Hölder stability estimates for recovering the low Fourier modes of an unknown potential from the Dirichlet-to-Neumann (DN) map. We study three di…
Regularity for the Geodesic X-Ray Transform in Nonsmooth Geometry
Pieti Kirkkopelto, Miika Manu, Mikko Salo
In this article we give regularity results for the geodesic X-ray transform on nonsmooth simple manifolds. As an application, we improve previous injectivity results for the geodes…
Generalized boundary rigidity and minimal surface transform
Leonard Busch, Tony Liimatainen, Mikko Salo +1
We study a generalized boundary rigidity problem, which investigates whether the areas of embedded minimal surfaces can uniquely determine a Riemannian manifold with boundary. We p…
Applications of the Stone-Weierstrass theorem in the Calderón problem
Tony Liimatainen, Mikko Salo
We give examples on the use of the Stone-Weierstrass theorem in inverse problems. We show uniqueness in the linearized Calderón problem on holomorphically separable Kähler manifold…